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Finding the Third Proportional to 6,493.50 and 14,024.81

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Solution

The third proportional to 6,493.50 and 14,024.81 is: 30,291.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.50 : 14,024.81 = 14,024.81 : x
  2. Step 2: Convert to fraction form
    6,493.50/14,024.81 = 14,024.81/x
  3. Step 3: Cross multiply
    6,493.50x = 14,024.81 × 14,024.81
  4. Step 4: Simplify right side
    6,493.50x = 196,695,365.66
  5. Step 5: Solve for x
    x = 196,695,365.66/6,493.50
  6. Step 6: Final answer
    x = 30,291.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.